72229686428025 has 405 divisors, whose sum is σ = 156369105074637. Its totient is φ = 31868479036800.

The previous prime is 72229686428023. The next prime is 72229686428089. The reversal of 72229686428025 is 52082468692227.

It is a happy number.

The square root of 72229686428025 is 8498805.

It is a perfect power (a square), and thus also a powerful number.

72229686428025 is a `hidden beast` number, since 7 + 2 + 2 + 296 + 8 + 64 + 280 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 695440912761 + 71534245515264 = 833931^2 + 8457792^2 .

It is not a de Polignac number, because 72229686428025 - 2¹ = 72229686428023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (72229686428023) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 193645271739 + ... + 193645272111.

Almost surely, 2^{72229686428025} is an apocalyptic number.

72229686428025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72229686428025 is the 8498805-th square number.

72229686428025 is the 4249403-rd centered octagonal number.

It is an amenable number.

72229686428025 is an abundant number, since it is smaller than the sum of its proper divisors (84139418646612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72229686428025 is an frugal number, since it uses more digits than its factorization.

72229686428025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 72229686428025 in words is "seventy-two trillion, two hundred twenty-nine billion, six hundred eighty-six million, four hundred twenty-eight thousand, twenty-five".